Dear GearDyn,
In LS-DYNA, MAT_110 (also known as MAT_STEINBERG_HY) is a material model designed for simulating elastic-plastic, hydrodynamic materials under extreme conditions, such as high strain rates and shock waves. It requires a separate equation of state (EOS) to define the pressure-volume-internal energy relationship of the material. The coupling of MAT_110 with an EOS is what allows for accurate modeling of these high-pressure, high-strain-rate phenomena.
The role of an EOS with MAT_110
MAT_110 calculates the material's deviatoric stress, which is its strength behavior.
The separate EOS calculates the hydrostatic (or bulk) pressure, which is the volume-dependent part of the stress.
The total stress is the sum of the deviatoric stress from MAT_110 and the pressure from the selected EOS.
Common equations of state used with MAT_110
While any compatible EOS keyword can be used, the Gruneisen EOS is the most common choice for modeling solids with MAT_110 under shock compression. Other options include:
EOS_GRUNEISEN: A popular choice for modeling the hydrodynamic behavior of metals and other solids under shock loading.
EOS_LINEAR_POLYNOMIAL: A more general-purpose EOS that can be used for a wide range of materials. For low to moderate strain rates, it can approximate the material's bulk modulus.
EOS_TABULATED: This option allows you to define the pressure-volume relationship via a user-defined table, offering maximum flexibility.
Input for an EOS in LS-DYNA
The specific input parameters depend on the chosen EOS. For example, to define the Gruneisen EOS, you would use the *EOS_GRUNEISEN keyword with parameters like:
Reference density (𝜌0)
Sound speed in the material (𝐶)
Dimensionless material coefficients (S1,S2,S3)
Gruneisen gamma (𝛾0)
Correction term (𝑎)
This information is typically defined on a separate card following the *MAT_110 material properties.
When to use an EOS with MAT_110
The use of an EOS is essential when simulating phenomena involving:
High-velocity impacts: A projectile impacting a target at high speed.
Shock wave propagation: Explosions or other events that cause high-pressure shock waves.
High strain rates: Deformations at rates exceeding 10^5 per second.
Pressure-dependent material behavior: Materials where the bulk pressure significantly affects the yield strength.
Sincerely,
James M. Kennedy
KBS2 Inc.
August 27, 2025
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Hello all,
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Dear GearDyn,
Some links you might study for unit conversion
https://www.dynasupport.com/howtos/general/consistent-units
unit conversion ls dyna calculator
To view this discussion visit https://groups.google.com/d/msgid/ls-dyna2/DM6PR13MB33073CA7940848C51C1102749138A%40DM6PR13MB3307.namprd13.prod.outlook.com.

Dear GearDyn,
My apologies, my search engine failed me. MAT_110 and MAT_010 appear to have got mixed somehow.
Notes from the following link indicates that no EOS is requireD for MAT_110
|
MAT_011 |
HY, MT |
FAIL, EOS, TEF, TC |
This is Material Type 11. This material is available for modeling materials deforming at very high strain rates (> 10^5 per second) and can be used with solid elements. The yield strength is a function of temperature and pressure. An equation of state determines the pressure. This model is applicable to a wide range of materials, including thos with pressure-dependent yield behavior. In addition, the incorporation of an equation of state permits accurate modeling of a variety of different materials. The spall model options permit incorporation of material failure, fracture, and disintegration effects under tensile loads. |
|
*MAT_110 |
CR, GL |
SRE, FAIL, DAM, TC |
This is Material Type 110. This Johnson-Holmquist Plasticity Damage Model is useful for modeling ceramics, glass and other brittle materials. A more detailed description can be found in a paper by Johnson and Holmquist [1993]. |
JH-2 primary references:
Johnson, G.R., and Holmquist, T.J., "An Improved Computational Constitutive Model for Brittle Materials", High-Pressure Science and Technology - 1993, American Institute of Physics, Vol. 309, pp. 981-984, July, 1994.
Johnson, G.R., and Holmquist, T.J., "Response of Boron Carbide Subjected to Large Strains, High Strain Rates, and High Pressures", Journal of Applied Physics, Vol. 85, No. 12, pp. 8060-8073, June, 1999.
Sincerely,
James M. Kennedy
KBS2 Inc.
August 29, 2025
Dear Emin,.
*MAT_241 or *MAT_JOHNSON_HOLMQUIST_JH1
This is Material Type 241. This Johnson-Holmquist Plasticity Damage Model is useful for modeling ceramics, glass and other brittle materials. This version corresponds to the original version of the model, JH1, and Material Type 110 corresponds to JH2, the updated model.
The main difference between JH1 and JH2 models is that the JH2 model incorporates a mechanism of gradual increase of bulking pressure as the damage accumulates. The value of the bulking pressure depends on the fraction of internal energy loss converted to potential hydrostatic energy.
The advantage of the JH1 model is the model parameters can be determined in a more straightforward manner than the JH2 model.
JH-1 primary references
Johnson, G.R., and Holmquist, T.J., "A Computational Constitutive Model for Brittle Materials Subjected to Large Strains, High Strain Rates and High Pressures", EXPLOMET 90 International Conference on Shock-Wave and High-Strain-Rate Phenomena in Materials, San Diego, California, August, 1990.
Johnson, G.R., and Holmquist, T.J., "A Computational Constitutive Model for Brittle Materials Subjected to Large Strains, High Strain Rates and High Pressures", Shock-Wave and High-Strain-Rate Phenomena in Materials, edited by Meyers, M.A., Murr, L.E., and Staudhammer, K.P., Marcel Dekkar Inc., New York, New York, pp. 1075-1081, 1992.
Holmquist, T.J., and Johnson, G.R., "Response of Silicon Carbide to High Velocity Impact", Journal of Applied Physics, Vol. 91, No. 9, pp. 5858-5866, May, 2002
*MAT_110 or *MAT_JOHNSON_HOLMQUIST_CERAMICS (JH-2)
This is Material Type 110. This Johnson-Holmquist Plasticity Damage Model is useful for modeling ceramics, glass and other brittle materials. A more detailed description can be found in a paper by Johnson and Holmquist [1993/1994].
JH-2 primary references
Johnson, G.R., and Holmquist, T.J., "An Improved Computational Constitutive Model for Brittle Materials", High-Pressure Science and Technology - 1993, American Institute of Physics, Vol. 309, pp. 981-984, July, 1994.
Johnson, G.R., and Holmquist, T.J., "Response of Boron Carbide Subjected to Large Strains, High Strain Rates, and High Pressures", Journal of Applied Physics, Vol. 85, No. 12, pp. 8060-8073, June, 1999.
JH-2 float glass references
Holmquist, T.J., Johnson, G.R., Grady, D.E., Lopatin, C.M., and Hertel, E.S., "High Strain Rate Properties and Constitutive Modeling of Glass", 15th International Symposium on Ballistics, pp. 237-244, Jerusalem, Israel, May, 1995.
JH model - JH-2 : ceramic data - float glass
http://www.osti.gov/bridge/servlets/purl/41367-gD9pD5/webviewable/41367.pdf
Richards, M., Clegg, R., and Howlett, S., "Ballistic Performance Assessment of Glass Laminates Through Experimental and Numerical Investigation", 18th International Symposium and Exhibition on Ballistics, pp. 1123-1130, San Antonio, Texas, November, 1999.
JH model - JH-2 : ceramic data - float glass
http://hsrlab.gatech.edu/AUTODYN/papers/paper089.pdf
Cronin, D.S., Bui, K., Kaufmann, C., McIntosh, G., and Berstad, T., "Implementation and Validation of the Johnson-Holmquist Ceramic Material Model in LS-DYNA", 4th European LS-DYNA Users Conference, Ulm, Germany, May, 2003.
JH model - JH-2 : ceramic data - AlN, Al2O3, B4C, SiC, float glass, etc.
http://www.dynalook.com/european-conf-2003/implementation-and-validation-of-the-johnson.pdf
Zhang, X., Hao, H, and Ma, G., "Dynamic Material Model of Annealed Soda-Lime Glass", International Journal of Impact Engineering, Vol. 77, pp. 108-119, March, 2015
JH model - JH-2 : ceramic data – float glass
https://www.deepdyve.com/lp/elsevier/dynamic-material-model-of-annealed-soda-lime-glass-WkQCdGS6Fm
Sincerely,
James M. Kennedy
KBS2 Inc.
October 16, 2925
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